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Finding the Fourth Proportional to 205.08, 309.12 and 192.36

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Solution

The fourth proportional to 205.08, 309.12 and 192.36 is: 289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.08 : 309.12 = 192.36 : x
  2. Step 2: Convert to fraction form
    205.08/309.12 = 192.36/x
  3. Step 3: Cross multiply
    205.08x = 309.12 × 192.36
  4. Step 4: Simplify right side
    205.08x = 59,462.32
  5. Step 5: Solve for x
    x = 59,462.32/205.08
  6. Step 6: Final answer
    x = 289.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.